FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2001, VOLUME 7, NUMBER 1, PAGES 105-119

**The Cesaro average for orthogonal-like decomposition systems with
non-negative measure**

A. N. Pavlikov

Abstract

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```
We prove that in case of orthogonal-like decomposition systems with
non-negative measure
the Abel--Poisson's method of summation is equivalent to
positive Cesaro's methods for convergence almost everywhere.
A criterion for summability of a sequence of partial integrals almost
everywhere is given.
```

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Location: http://mech.math.msu.su/~fpm/eng/k01/k011/k01107t.htm

Last modified: May 10, 2001